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Finding the Fourth Proportional to 5,113.68, 7,670.69 and 1,415.95

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Solution

The fourth proportional to 5,113.68, 7,670.69 and 1,415.95 is: 2,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.68 : 7,670.69 = 1,415.95 : x
  2. Step 2: Convert to fraction form
    5,113.68/7,670.69 = 1,415.95/x
  3. Step 3: Cross multiply
    5,113.68x = 7,670.69 × 1,415.95
  4. Step 4: Simplify right side
    5,113.68x = 10,861,292.56
  5. Step 5: Solve for x
    x = 10,861,292.56/5,113.68
  6. Step 6: Final answer
    x = 2,123.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.